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Finding the Fourth Proportional to 298,952,655.40, 448,428,983.10 and 274,010,357.80

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Solution

The fourth proportional to 298,952,655.40, 448,428,983.10 and 274,010,357.80 is: 411,015,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,952,655.40 : 448,428,983.10 = 274,010,357.80 : x
  2. Step 2: Convert to fraction form
    298,952,655.40/448,428,983.10 = 274,010,357.80/x
  3. Step 3: Cross multiply
    298,952,655.40x = 448,428,983.10 × 274,010,357.80
  4. Step 4: Simplify right side
    298,952,655.40x = 122,874,186,107,121,168
  5. Step 5: Solve for x
    x = 122,874,186,107,121,168/298,952,655.40
  6. Step 6: Final answer
    x = 411,015,536.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.